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A within-host virus model with periodic multidrug therapy.

Zhen Wang1, Xiao-Qiang Zhao

  • 1Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL, A1C 5S7, Canada. zhenw@mun.ca

Bulletin of Mathematical Biology
|February 6, 2013
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Periodic drug treatment impacts virus dynamics. If the basic reproduction number (R0) is less than 1, the infection clears. If R0 is greater than 1, periodic treatment can lead to persistent infection states.

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Area of Science:

  • Mathematical biology
  • Virology
  • Pharmacokinetics

Background:

  • Understanding within-host virus dynamics is crucial for developing effective treatment strategies.
  • Periodic drug administration is a common therapeutic approach, but its impact on viral persistence requires detailed analysis.
  • Mathematical modeling provides a framework to study complex biological processes like viral infections and treatment responses.

Purpose of the Study:

  • To investigate the effects of periodic drug treatment on a standard within-host virus model.
  • To analyze the role of the basic reproduction number (R0) in determining infection outcomes.
  • To explore the optimization of drug treatment by phase shifting efficacy functions.

Main Methods:

  • Introduction and analysis of the basic reproduction ratio (R0).
  • Global asymptotic stability analysis of the infection-free equilibrium.
  • Investigation of periodic solutions and disease persistence.
  • Phase-shifting optimization of drug efficacy functions.
  • Numerical simulations to validate analytical findings.

Main Results:

  • The infection-free equilibrium is globally asymptotically stable when R0 < 1, leading to disease clearance.
  • When R0 > 1, at least one positive periodic state exists, indicating disease persistence.
  • Phase shifting of drug efficacy functions can influence the stability of the infection-free steady state.

Conclusions:

  • Periodic drug treatment strategies significantly impact viral dynamics within a host.
  • The basic reproduction number (R0) is a critical determinant of disease outcome under periodic treatment.
  • Optimizing drug administration timing through phase shifting offers a potential strategy to manage persistent viral infections.